List questions from improper-integrals

Published on 28 Mar 2026 - 11:54

188

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Doing the integral $\int_0^\infty \frac{x^{s-1}}{1+x} dx =\frac{\pi}{\sin \pi s }$

Published on 11 Mar 2019 - 3:17

65

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limit of Integral of product of convergent functions

Published on 27 Mar 2026 - 15:19

54

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How to prove the following inequalities via logical implications?

Published on 12 Mar 2019 - 4:34

400

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Evaluate $\int_0^\infty 2 u \sin u\, \exp(-su^2)\mathrm du$

Published on 28 Mar 2026 - 12:31

724

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Laplace transform of $\frac{2\sin(t) \sinh(t)}{t}$

Published on 28 Mar 2026 - 14:25

101

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Similarity between $e^x$ power series and Gamma function integral?

Published on 26 Mar 2026 - 15:16

138

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Integral $\int_0^\infty \frac{t^2\arctan(t)}{(t^2+2)^{{5/2}}}dt$

Published on 12 Mar 2019 - 21:00

58

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Need help with the following question about finding volume of improper integral

Published on 26 Mar 2026 - 16:12

274

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An interesting indefinite integral

Published on 14 Mar 2019 - 13:23

406

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Improper integral where both bounds are undefined

Published on 14 Mar 2019 - 14:47

144

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Double integral involving the derivative of a delta 'function': contradicting results

Published on 26 Mar 2026 - 12:40

193

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What is the value of $\int_0^\infty \frac{\{ax^2\}-\{ax\}}{x \log x}dx$?

Published on 15 Mar 2019 - 2:27

229

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Prove that $\int_0^\infty e^{-x} \ln x d x = - \gamma $

Published on 27 Mar 2026 - 7:48

293

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Integral involving Bessel function and exponential

Published on 27 Mar 2026 - 10:07

List Question

Trig Subsitution When There's No Square Root

Doing the integral $\int_0^\infty \frac{x^{s-1}}{1+x} dx =\frac{\pi}{\sin \pi s }$

limit of Integral of product of convergent functions

How to prove the following inequalities via logical implications?

Evaluate $\int_0^\infty 2 u \sin u\, \exp(-su^2)\mathrm du$

Laplace transform of $\frac{2\sin(t) \sinh(t)}{t}$

Similarity between $e^x$ power series and Gamma function integral?

Integral $\int_0^\infty \frac{t^2\arctan(t)}{(t^2+2)^{{5/2}}}dt$

Need help with the following question about finding volume of improper integral

An interesting indefinite integral

Improper integral where both bounds are undefined

Double integral involving the derivative of a delta 'function': contradicting results

What is the value of $\int_0^\infty \frac{\{ax^2\}-\{ax\}}{x \log x}dx$?

Prove that $\int_0^\infty e^{-x} \ln x d x = - \gamma $

Integral involving Bessel function and exponential

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